# Spacetime diffeomorphisms as matter fields

@article{Capoferri2018SpacetimeDA, title={Spacetime diffeomorphisms as matter fields}, author={Matteo Capoferri and D. Vassiliev}, journal={arXiv: Mathematical Physics}, year={2018} }

We work on a 4-manifold equipped with Lorentzian metric $g$ and consider a volume-preserving diffeomorphism which is the unknown quantity of our mathematical model. The diffeomorphism defines a second Lorentzian metric $h$, the pullback of $g$. Motivated by elasticity theory, we introduce a Lagrangian expressed algebraically (without differentiations) via our pair of metrics. Analysis of the resulting nonlinear field equations produces three main results. Firstly, we show that for Ricci-flat… CONTINUE READING

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